Higher $p$-torsion in the $\beta$-family
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- by Hal Sadofsky PDF
- Proc. Amer. Math. Soc. 108 (1990), 1063-1071 Request permission
Abstract:
We prove the existence of new families of ${\upsilon _2}$-periodic elements of the stable homotopy of the sphere detected in the second filtration of the Adams-Novikov Spectral Sequence for primes greater than 3. Our main corollary is that the $p$-component of $\pi _ * ^s$ contains any finite abelian $p$-group as a subgroup in some dimension $({\text {for}}p \geq 5)$.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 1063-1071
- MSC: Primary 55Q10; Secondary 55Q40, 55T15
- DOI: https://doi.org/10.1090/S0002-9939-1990-0994790-0
- MathSciNet review: 994790